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Finding the Third Proportional to 133,977 and 207,357

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Solution

The third proportional to 133,977 and 207,357 is: 320,927.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,977 : 207,357 = 207,357 : x
  2. Step 2: Convert to fraction form
    133,977/207,357 = 207,357/x
  3. Step 3: Cross multiply
    133,977x = 207,357 × 207,357
  4. Step 4: Simplify right side
    133,977x = 42,996,925,449
  5. Step 5: Solve for x
    x = 42,996,925,449/133,977
  6. Step 6: Final answer
    x = 320,927.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.